拟阵中算子的性质  

The property of operator in matroid

作　　者：郭建胜[1] 李生刚[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2007年第1期13-16,共4页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10271069)

摘　　要：在有限集上定义了闭包、内部、外部和边界等算子,然后用类似于拓扑学中的方法研究了这些算子与拟阵之间的关系,并研究了这些算子的复合性质.结果表明,这些算子的每一个都可以确定惟一的一个拟阵,Kuratowski 14集定理在拟阵中成立.The operators, such as closure operators, interior operators, exterior operators and boundary operators, are defined in a finite set. Then the relation between operator and matroid is researched with the methods similar to topological methods, and some properties of composition operator are studied. The results show that a matroid can be uniquely decided by each of these operators, and that the Kuratowski 14-sets theorem is valid in matroid.

关 键 词：拟阵 算子 闭包 边界 

分 类 号：O157.3[理学—数学]